# A bicyclist is riding on a path modeled by the function

f(x) = 0.04(8x − x2),
where x and f(x) are measured in miles. Find the rate of change of elevation at x = 1.

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1. f'(x) is the rate of change.
So, assuming f(x) is the elevation (which you don't actually state),
f'(x) = 0.04(8-2x)
so just plug in x=1

Note: apparently the units are miles, so f'(x) is in mi/mi.
What does that mean?

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oobleck